Question
The cost price of 18 headsets equals the selling price of 12 headsets. The ratio of the cost price of a headset to a mobile cover is 5:3. The combined selling price of 8 headsets and 12 mobile covers is Rs.2100. Each mobile cover is sold at a 25% profit. Find the cost price of one headset.
Solution
Let CP and SP of one headset be a and b. 18a = 12b → a/b = 2/3 CP(headset) = 2x SP(headset) = 3x CP cover = 2x × 3/5 = 6x/5 SP cover = 6x/5 × 125/100 = 3x/2 8×3x + 12×3x/2 = 24x + 18x = 42x = 2100 x = 2100/42 = 50 CP of one headset = 2x = Rs.100
More Profit and loss Questions
- A saree having cost price of Rs. 2500 is marked up by 50% above its cost price and sold after offering two successive discounts of 10% and 20% respectively...
- Cost of a gadget is Rs. (10n + 150). It is marked up by 60% and sold after deducting Rs. (5n + 100) as discount. If a profit of Rs. 1,200 is made, find the...
- A shopkeeper marked his article 30% above its cost price and offered a discount of 28%. If cost price of the article is Rs. 350, then find profit or loss o...
- A started a retail business by investing Rs.50,000. After five months B joined him with a capital of Rs.60,000. After 2 years, they earned a profit of Rs.4...
- In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of t...
- A shopkeeper earns a profit of 30% by selling an article. What would be the approximate percent change in the profit percent, if he had paid 20% less and s...
- A trader sold two items for Rs. 150 each. He sold one at a profit of 20% and the other at a loss of 25%. What is the difference in their cost prices?
- The marked price of the washing machine is 60% above its cost price. The seller offers two successive discounts of 10% and 10%, respectively. If he makes a...
- A Shopkeeper gives 2 articles free on the purchase of every 10 articles. He also allows a discount of 20% to customer and still earn 25% profit. Find the r...
- The profit earned by selling an article for Rs. 4,800 is 5/8th the loss incurred on selling the same article for Rs. 3,200. Find the selling price of the a...
Relevant for Exams:
